Solving Equations with Variables on Both Sides

Front

What is an equation with variables on both sides?

Back

An equation where the variable appears on both sides of the equal sign, requiring manipulation to isolate the variable.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

Solve: 9 - 4x = 12x + 25

Back

x = -1

Front

Solve: 14x + 16 = 13x - 42

Back

x = -58

Front

Solve: 13x = -104

Back

x = -8

Front

Solve: 5x + 15 = 10x - 40

Back

x = 11

Front

Solve: 11x - 44 = 9x - 20

Back

x = 12

Front

What is the first step in solving an equation with variables on both sides?

Back

The first step is to move all terms containing the variable to one side of the equation.

Front

What does it mean to 'combine like terms'?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value satisfies the original equation, confirming it is correct.